devashish2407 wrote:
Bunuel wrote:
OfficialSolution:
Jingle, an elf, traveled a total of 1,080 miles over the course of three days. Was his daily average (arithmetic mean) distance greater than the median of the distances he covered on thesedays?
Jingle's total travel of 1,080 miles over three days results in a daily average distance of 1,080/3 = 360 miles. The question then becomes: is the median distance less than 360 miles?
(1) The range of the distances Jingle covered over these days was equal to his daily average (arithmetic mean) distance.
This means the range = 360. Let's consider sets that could yield both a NO and a YES answers.
For distances of 200, 320, and 560 miles, the median of 320 is less than 360.
For distances of 100, 420, and 460 miles, the median of 420 is greater than 360.
Not sufficient.
(2) On one of the days, Jingle covered 360 miles.
Since Jingle covered 360 miles on one of the days, on one of the remaining two days he must have covered a distance less than or equal to 360 miles, and
...
Jingle, an elf, traveled a total of 1,080 miles over the course of three days. Was his daily average (arithmetic mean) distance greater than the median of the distances he covered on thesedays?
Jingle's total travel of 1,080 miles over three days results in a daily average distance of 1,080/3 = 360 miles. The question then becomes: is the median distance less than 360 miles?
(1) The range of the distances Jingle covered over these days was equal to his daily average (arithmetic mean) distance.
This means the range = 360. Let's consider sets that could yield both a NO and a YES answers.
For distances of 200, 320, and 560 miles, the median of 320 is less than 360.
For distances of 100, 420, and 460 miles, the median of 420 is greater than 360.
Not sufficient.
(2) On one of the days, Jingle covered 360 miles.
Since Jingle covered 360 miles on one of the days, on one of the remaining two days he must have covered a distance less than or equal to 360 miles, and
...
Statistics : Posted by Bunuel • on 30 Dec 2023, 22:33 • Replies 5 • Views 727
